Question

Calcule:
√28-2√63+√27+√108+√3

Answer 1

$\sqrt{28}-2\sqrt{63}+\sqrt{27}+\sqrt{108}+\sqrt3$

$\sqrt{2\cdot2\cdot7}-2\sqrt{3\cdot3\cdot7}+\sqrt{3\cdot3\cdot3}+\sqrt{2\cdot2\cdot3\cdot3\cdot3}+\sqrt3$

$\sqrt{2^2\cdot7}-2\sqrt{3^2\cdot7}+\sqrt{3^2\cdot3}+\sqrt{2^2\cdot3^2\cdot3}+\sqrt3$

$2\sqrt7-2\cdot3\sqrt7+3\sqrt3+2\cdot3\sqrt3+\sqrt3$

$2\sqrt7-6\sqrt7+3\sqrt3+6\sqrt3+\sqrt3$

$-4\sqrt7+10\sqrt3$